Question

a) x³+x²y-4x-4y

b) x³-4x²+4x-1

c) x²+2x-15

d) a⁴+4

Answer 1

a. x³+x²y-4x-4y

=x²(x+y)-4(x+y)

= (x+y).(x²-4)

= (x+y).(x-4).(x+2)

d. a⁴+4

= (a²)²+2²

= (a²)²+4a²+2²-4a²

= (a²+2)²-4a²

= (a²+2-2a)(a²+2+2a)

= (a²-2a+2)(a²+2a+2)

 

Answer 2

b. x³-4x²+4x-1

= x(x²-4x+1)-1

=x(x-2)²-1²

=x(x-2-1)(x-2+1)

=x(x-3)(x-1

Answer 3

c. x²+2x-15

= x²-3x+5x-15

= x(x-3)+5(x-3)

= (x-3)(x+5)